Magnitude of acceleration given the orbit

Click For Summary
SUMMARY

The discussion centers on calculating the magnitude of acceleration due to gravity for a satellite in a circular orbit 3.22 × 105 m above Earth's surface. The relevant formula used is a = MG/R2, where G is the gravitational constant (6.67 x 10-11 N m2/kg2) and R is the total distance from the center of the Earth to the satellite. The mass M in the equation refers to the mass of the Earth, confirming that the radius in the denominator must be squared.

PREREQUISITES
  • Understanding of gravitational force and acceleration
  • Familiarity with the formula a = MG/R2
  • Knowledge of gravitational constant (G = 6.67 x 10-11 N m2/kg2)
  • Basic knowledge of Earth's radius (approximately 6.38 x 106 m)
NEXT STEPS
  • Research the concept of gravitational acceleration in different orbits
  • Learn about the implications of altitude on gravitational force
  • Study the derivation of the gravitational force formula a = MG/R2
  • Explore satellite motion and orbital mechanics
USEFUL FOR

Students studying physics, particularly those focusing on gravitational forces and orbital mechanics, as well as educators looking for examples of gravitational calculations in satellite dynamics.

Shadow236
Messages
18
Reaction score
0

Homework Statement


A satellites are placed in a circular orbit that is 3.22 × 105 m above the surface of the earth. What is the magnitude of the acceleration due to gravity at this distance?

Homework Equations


a = MG/R^2

The Attempt at a Solution


For the above formula I have trouble because I do not know the mass of the satellite. I end up with

a = M (6.67 x 10^-11)/(6.38 x 10^6 + 3.22 x 10^5)^2
 
Last edited:
Physics news on Phys.org
Shadow236 said:

Homework Statement


A satellites are placed in a circular orbit that is 3.22 × 105 m above the surface of the earth. What is the magnitude of the acceleration due to gravity at this distance?


Homework Equations


a = MG/R^2


The Attempt at a Solution


For the above formula I have trouble because I do not know the mass of the satellite. I end up with

a = M (6.67 x 10^-11)/(6.38 x 10^6 + 3.22 x 10^5)

Which mass does the M in your Relevant Equation represent?

Also, be sure to not forget that the radius in the denominator must be squared.
 
  • Like
Likes   Reactions: 1 person
Does it represent the mass of the earth?

EDIT: It does represent the mass of the Earth. Thank you!
 

Similar threads

Replies
5
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
5
Views
3K
  • · Replies 3 ·
Replies
3
Views
7K
  • · Replies 6 ·
Replies
6
Views
3K
Replies
12
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 21 ·
Replies
21
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K